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Chapter 11: Q. 332 (page 1160)

In the following exercises, write the standard form of the equation of the circle with the given information.

Find the equation of the ellipse shown in the graph.

Short Answer

Expert verified

The equation of ellipse is(x-0)262+(y-0)2102=1.

Step by step solution

01

Step 1. Given Information

Given that the graph of ellipse,

02

Step 2. Formula used

The standard form of ellipse is (x-h)2a2+(y-k)2b2=1

When a>b, the major axis is horizontal and b>a, the major axis is vertical.

03

Step 3. Applying in formula

Centre is origin here (0,0). The vertical and horizontal radius are 10 and 6 units. On substituting in the standard form of ellipse,

(x-0)262+(y-0)2102=1.

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